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Harrizon [31]
3 years ago
14

8. What are the advantages of switching a quadratic function from standard form into vertex form?

Mathematics
1 answer:
Airida [17]3 years ago
3 0

Answer:

vertex form automatically gives you your vertex and your y intercept so all you need to do is graph. Hope this helps

Step-by-step explanation:

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Compared to its parent function the transformation of the following : y= -3x - 3 + 4
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The answer is B
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These are the values in Min-Su’s data set.
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The answer is (4,5) (5,-5) (6,-4) (7,3) (8,1).
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This question is down below. The picture attached below. <br> Thanks.
Ostrovityanka [42]

The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1g^{2}+30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1g^{2}+30g-1200

0.1g^{2}-30g+1200+665.60=0

0.1g^{2}-30g+1865.60=0

Divide the above equation by 0.1.

g^{2}-300g+18656=0

Solving for g we get,

g=[300±\sqrt{(300)^{2}-4*1*18656 }]/2*1

g=[300±\sqrt{90000-74624}]/2

g=[300±\sqrt{15376}]/2

g=(300±124)/2

g=(300+124)/2       , g=(300-124)/2

g=424/2,  g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1g^{2}+30g-1200.

-0.1g^{2}+30g-1200=1500

0.1g^{2}-30g+1500+1200=0

0.1g^{2}-30g+2700=0

Dividing equation by 0.1.

g^{2}-300g+27000=0

Solving the equation for finding value of g.

g=[300±\sqrt{300^{2} -4*1*27000}]/2*1

=[300±\sqrt{90000-108000}] /2

=[300±\sqrt{-18000}]/2

Because \sqrt{-18000} comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Learn more about equation at brainly.com/question/2972832

#SPJ1

7 0
1 year ago
A rectangular prism made of wood has a length of 10 centimeters, a width of 8 centimeters, and a height of 12 centimeters. A rec
Novay_Z [31]
D. 1032 cubic centimeters I think
8 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLYIST!!! ♦♦♦♦♦
sveticcg [70]

Answer:

A. (3,1)

B. g(x)=|x-3|+6

C. h(x)=-|x-3|-6

Step-by-step explanation:

A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).

B.  The function g(x) translates f(x) 5 units up, so its equation is

g(x)=f(x)+5

g(x)=|x-3|+1+5

g(x)=|x-3|+6

Blue graph in attached diagram.

C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is

h(x)=-g(x)

h(x)=-(|x-3|+6)

h(x)=-|x-3|-6

Red graph in attached diagram.

7 0
2 years ago
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